A type of bacteria moves at a speed of [tex]8 \times 10^{-7}[/tex] meters per second. How far does this bacteria move in [tex]5.45 \times 10^{9}[/tex] seconds? Write your answer in micrometers, using scientific notation.
Explain fully how you got your answer.
Answer (2)
you have to multiply the two standard forms together (8 x 10^-7) x (5.45 x 10^9) to multiply multiply the two numbers together then the 10 powers, and when multiplying powers you simply add the two powers together. 43.6 x 10^(-7 + 9) 43.6 x 10^2 then put this into standard form 4.36 x 10^3 (as standard form allows for only 1 number infront of the decimal place) and to get back to 43.6 x 10^2 you have to multiply by 10 so this = 4.36 x 10 x 10 x 10 =4.36 x 10^3
The bacteria moves 4.36 × 1 0 9 micrometers in 5.45 × 1 0 9 seconds after calculating its speed and converting the distance. The calculations involve multiplying its speed by the time and converting the final distance from meters to micrometers. Finally, the answer is presented in scientific notation.
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